Area of an ellipse In polar coordinates an equation of an

Chapter 13, Problem 74

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Area of an ellipse In polar coordinates an equation of an ellipse with eccentricity 0 6 e 6 1 and semimajor axis a is r = a11 - e22 1 + e cos u . a. Write the integral that gives the area of the ellipse. b. Show that the area of an ellipse is pab, where b2 = a211 - e22.

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